Browsing Department of Mathematics (MU) by Identifier "0264-9381"
Now showing items 1-8 of 8
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Chaos in the Kepler system
(American Institute of Physics, 1999)The long-term dynamical evolution of a Keplerian binary orbit due to the emission and absorption of gravitational radiation is investigated. This work extends our previous results on transient chaos in the planar case to ... -
Evolutionary dynamics while trapped in resonance: a Keplerian binary system perturbed by gravitational radiation
(American Institute of Physics, 1997)The method of averaging is used to investigate the phenomenon of capture into resonance for a model that describes a Keplerian binary system influenced by radiation damping and external normally incident periodic gravitational ... -
The generalized Jacobi equation
(American Institute of Physics, 2002)The Jacobi equation in pseudo-Riemannian geometry determines the linearized geodesic flow. The linearization ignores the relative velocity of the geodesics. The generalized Jacobi equation takes the relative velocity into ... -
Gravitational induction
(Institute of Physics, 2008)We study the linear post-Newtonian approximation to general relativity known as gravitoelectromagnetism (GEM); in particular, we examine the similarities and differences between GEM and electrodynamics. Notwithstanding ... -
Gravitational ionization: a chaotic net in the Kepler system
(American Institute of Physics, 1997)The long-term nonlinear dynamics of a Keplerian binary system under the combined influences of gravitational radiation damping and external tidal perturbations is analysed. Gravitational radiation reaction leads the binary ... -
Significance of c /sqrt2 in relativistic physics
(American Institute of Physics, 2004)In the description of relative motion in accelerated systems and gravitational fields, inertial and tidal accelerations must be taken into account, respectively. These involve a critical speed that in the first approximation ... -
Tidal dynamics in Kerr spacetime
(Institute of Physics, 2006)The motion of free nearby test particles relative to a stable equatorial circular geodesic orbit about a Kerr source is investigated. It is shown that the nonlinear generalized Jacobi equation can be transformed in this ... -
Ultrarelativistic motion: inertial and tidal effects in Fermi coordinates
(Institute of Physics, 2004)Fermi coordinates are the natural generalization of inertial Cartesian coordinates to accelerated systems and gravitational fields. We study themotion of ultrarelativistic particles and light rays in Fermi coordinates ...